Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get?



Answer to a math question Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get?

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Encontremos la longitud máxima de cada trozo que Juan puede obtener cortando las cuerdas en segmentos iguales. Longitudes de cuerda: Juan tiene dos cuerdas: una tiene 180 metros de largo y la otra 240 metros de largo. Máximo común divisor (MCD): para determinar la longitud máxima de cada pieza, calcularemos el máximo común divisor (MCD) de las longitudes de las cuerdas. El MCD representa la longitud más grande que divide uniformemente ambas cuerdas. Cálculo del MCD: El MCD de 180 y 240 es de 60 metros. Longitud Máxima de Cada Pieza: Juan puede cortar ambas cuerdas en trozos iguales de 60 metros cada uno. Numero de piezas: Para la cuerda de 180 metros, Juan obtendrá 3 trozos (180 ÷ 60 = 3). Para la cuerda de 240 metros, Juan obtendrá 4 trozos (240 ÷ 60 = 4). En resumen, Juan podrá obtener piezas de 60 metros cada una, y tendrá un total de 7 piezas (3 de la cuerda de 180 metros y 4 de la cuerda de 240 metros).

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